一阶哈密顿系统的制动下调和解
Brake subharmonic solutions of first order Hamiltonian systems
摘要：
本文主要利用Galerkin逼近方法和$L$型指标理论中的迭代不等式，研究了一阶非自治哈密顿系统刹车下调和解的性质.证明了当正整数$j$和$k$满足一定条件时，存在$jT$ -周期非常数制动解$z_{j}$，使得$z_{j}$和$z_{kj}$是不同的.
英文摘要：
In this paper, we mainly use the Galerkin approximation method and the iteration inequalities of the $L$-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems. We prove that when the positive integers $j$ and $k$ satisfies the certain conditions, there exists a $jT$-periodic nonconstant brake solution $z_{j}$ such that $z_{j}$ and $z_{kj}$ are distinct.
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